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j AXIAL LOADS plus 50 % Live Load <br /> Span = 16.00 ft Reaction = 6.88 kips <br /> Uniform Load = 0.860 kips/ft Moment = 27.52 kip-ft <br /> Maximum Stress Allowable Stress Stress % <br /> fv = 113 psi Fv' = 424 psi 26.7 % <br /> fb = 1,718 psi Fb' = 3,805 psi 45.2 % <br /> fa = 140 psi <br /> Ft' = Ft* DOL = 1,760 psi <br /> Fb* = Fb * DOL *Cv = 3,840 psi <br /> Fb** = Fb * DOL*CI = 3,805 psi <br /> Axial Tension plus Bending <br /> fa/Ft+ fb/Fb* = 0.080 + 0.447 = 0.527 OK <br /> (fb-fa)/Fb** _ = 0.415 <br /> Axial Compression plus Bending --X-axis-- <br /> Le/d about X-axis = 12.80 <br /> FcE= (0.822*Emin)/(Le/d)^2 = 4,666 psi <br /> Fc* = Fc* DOL = 2,640 psi <br /> z = FcE/Fc* = 1.77 <br /> Cp = (1+z)/1.8-[((1+z)/1.8)^2 -z/0.90]^0.5 = 0.91 <br /> Fc' = Fc* DOL *Cp = 2,389 psi <br /> (fa/ F'c)^2 + fb/F'b[1 -(fa/FcE)] = 0.003 + 0.466 = 0.469 OK <br /> Axial Compression plus Bending --Y-axis-- <br /> Le/d about Y-axis = 37.46 <br /> FcE = (0.822*Emin)/(Le/d)^2 = 486 psi <br /> Fc* = Fc* DOL = 2,640 psi <br /> z = FcE/Fc* = 0.18 <br /> Cp = (1+z)/1.8 -[((1+z)/1.8)^2 -z/0.90]^0.5 = 0.18 <br /> Fc' = Fc* DOL *Cp — 476 psi <br /> (fa/ F'c)^2 + fb/ F'b[1 - (fa/FcE)] = 0.087 + 0.635 = 0.722 OK <br />